Consider the spring mass system defined by the differential equation mx" + kx = Fext (t) If m=0.5 kg, and the periodicFext (t) shown on the graph below is applied as an external force, what value of k will result in the mass showing ever-increasing amplitude oscillations over time? f(t) 1.0 0.8 0.6 0.4 0.2 3 4 5 6 7 2

Consider the spring mass system defined by the differential equation mx" + kx = Fext (t) If m=0.5 kg, and the periodicFext (t) shown on the graph below is applied as an external force, what value of k will result in the mass showing ever-increasing amplitude oscillations over time? f(t) 1.0 0.8 0.6 0.4 0.2 3 4 5 6 7 2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Consider the spring mass system defined by the differential equation
mx" + kx = Fext (t)
If m=0.5 kg, and the periodicFext (t) shown on the graph below is applied as an
external force, what value of k will result in the mass showing ever-increasing
amplitude oscillations over time?
f(t)
NNN.
1.0
0.8
0.6
0.4
0.2
3
4
5
6
7
2

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